The number 8884
8884 is a composite number with 6 divisors. Its prime factorisation is × 2221. Divisors (6): 1, 2, 4, 2221, 4442, 8884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8884: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8884 is composite. Its prime factorisation is
- 3
The divisors add up to 15554; without 8884 itself that is 6670, so 8884 is deficient (6670 is less than 8884). Euler's totient φ(8884) = 4440 numbers up to 8884 share no factor with it.
- 4
The digits of 8884 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8884 = 2^{2} \times 2221 \]8884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 15554 |
| Euler totient φ(n) | 4440 |
| Square | 78925456 |
| Cube | 701173751104 |
| Square root | 94.254973 (= 2√2221) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.884 × |
8884 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and eighty-four |
| Binary (base 2) | 10001010110100 |
| Octal (base 8) | 21264 |
| Hexadecimal (base 16) | 22B4 |
| Base 3 | 110012001 |
| As time | 8884 seconds = 2 h 28 min 4 s |
Is 8884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8884 ÷ 2 = 4442) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8884 ÷ 4 = 2221) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8884 a prime number?
No. 8884 = × 2221, so it is divisible by 2.
What are the factors of 8884?
1, 2, 4, 2221, 4442, 8884.
What is 8884 in binary?
10001010110100 (hexadecimal 22B4, octal 21264).
What is the square root of 8884?
About 94.2550, exactly 2√2221.
Is 8884 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 8884?
8884 is a happy number: repeatedly adding the squares of its digits reaches 1.